A steel rod is 3.000 cm in diameter at 25 °C. A brass ring has an inner diameter of 2.992 cm at 25 °C. At what common temperature – i.e., the same temperature for the rod and ring – will the ring just fit onto the rod? The coefficient of linear expansion of steel is 11 x 10-6/°C. The coefficient of linear expansion of brass is 19 x 10-6/°C.
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- At 19.0°C an aluminum ring has an inner diameter of 6 cm, and a brass rod has a diameter of 6.090cm. Keeping the brass rod at 19.0°C,to what temperature must the aluminum ring be heated toallow the ring tojust slip over the brass rod? Final answer should be in F.A spherical steel ball bearing has a diameter of 2.540 cm at 21.00°C. (Assume the coefficient of linear expansion for steel is 11 ✕ 10−6 (°C)−1. ) (a) What is its diameter when its temperature is raised to 98.0°C? (Give your answer to at least four significant figures.)? cm(b) What temperature change is required to increase its volume by 0.900%? ?°CAt 20 °C, an aluminum ring has an inner diameter of 2.99 cm and an outer diameter of 4.00 cm. The ring needs to fit over a stainless steel rod that has a diameter of 3.00 cm at 20 °C. Assume that the ring and rod are situated such that they both need to be heated by the same flame. To what temperature in °C must the rod and ring be heated so that the ring just barely slips over the rod? Use coefficients of linear expansion: αal = 2.3 × 10-5(°C)-¹ and αst = 1.7 × 10-5(°C)−¹. A. 441 °C B. 527 °C C. 563 °C D. 583 °C E. 627 °C
- At a temperature of 22.90°C the hole in a steel plate has a diameter of 1.025 cm. If a steel rod with a diameter of 1.034 cm has to just slip through this hole, to what temperature should the plate be heated? The coefficient of area expansion of steel is 24 x 10-6/°c. °CA steel rod is 2.899 cm in diameter at 28.00°C. A brass ring has an interior diameter of 2.896 cm at 28.00°C. At what common temperature will the ring just slide onto the rod? The linear expansion coefficient of steel is 11.00 x 10-6 1/C°. The linear expansion coefficient of brass is 19.00 × 10-6 1/C°. Number UnitsAt 20∘C, the hole in an aluminum ring is 2.400 cm in diameter. You need to slip this ring over a steel shaft that has a room-temperature diameter of 2.406 cm. To what common temperature should the ring and the shaft be heated so that the ring will just fit onto the shaft? Coefficients of linear thermal expansion of steel and aluminum are 12×10^-6 K^-1 and 23×10^-6 K^-1 respectively. Express your answer in degrees Celsius to two significant figures.
- An aluminum bar has a cross-section that is 5.1 cm by 6.93 cm and is 1.91 m long. Aluminum has a thermal conductivity of 205 W/m K. If the aluminum bar is used to bridge between ice at 0 °C and boiling water at 100 °C, what is the rate of heat transfer (in W) along the bar?A spherical steel ball bearing has a diameter of 2.540 cm at 23.00°C. (Assume the coefficient of linear expansion for steel is 11 ✕ 10−6 (°C)−1.) (a) What is its diameter when its temperature is raised to 96.0°C? (Give your answer to at least four significant figures.) cm(b) What temperature change is required to increase its volume by 0.900%? °CAn aluminium ring with a hole having area 4.02 cm² is to be shrink fitted on a steel rod with cross sectional area of 4.04 cm2. Both rod and ring were initially measure at a temperature of 35.0 °C. At what common temperature will the aluminium ring be exactly the same size as the steel rod? The measured coefficient of thermal expansion of steel is 11.0x10-6 K1 and the measured coefficient of thermal expansion of aluminium is 24.0x10-6 x-1.
- A prismatic bar at ?? ℉ is embedded in a rigid concrete wall. The bar is 50 ?. long and has a cross-sectional area of 6 ??? . What is the axial force developed if the temperature is increased to ??? ℉? The thermal expansion coefficient of the steel bar is ? × ??−?⁄℉.A metal rod had a coefficient of linear expansion α = 1.5 x 10-5 1/K. It has a starting length of 210 cm. When the temperature changes from 25 °C to 55 °C, by how much does the length of the rod change, in cm?A steel ring with a hole having area of 7.970 cm2 is to be placed on an aluminum rod with cross-sectional area of 8.000 cm2. Both rod and ring are initially at a temperature of 25.0°C. At what common temperature can the steel ring be slipped onto one end of the aluminum rod? (The coefficient of linear expansion of steel is11 ✕ 10−6 (°C)−1, and the coefficient of linear expansion of aluminum is 24 ✕ 10−6 (°C)−1.) _________________°C